Q: What are the prime factors of the number 1,903,428?

 A: 2, 3, 37, 1429

Why are those the prime factors of the number 1,903,428?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 1,903,428

1,903,428
Factor Arrows
2951,714
Factor Arrows
2475,857
Factor Arrows
3158,619
Factor Arrows
352,873
Factor Arrows
371,429

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 37, 1429

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 37 x 1,429 = 1,903,428

This can also be written as 22 x 32 x 371 x 1,4291 = 1,903,428

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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